NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Mathematics (Maths) Class 7

Created by: Praveen Kumar

Class 7 : NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

The document NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.
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Exercise 14.1 

Question 1: 

Copy the figures with punched holes and find the axes of symmetry for the following: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

 

Answer 1: 

S. No.Punched holed figuresThe axes of symmetry
(a)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(b)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(c)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(d)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(e)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(f)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(g)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(i)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(j)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(k)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(l)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

 

Question 2: 

Express the following in exponential form: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 2: 

S. No.Line(s) of symmetryOther holes on figures
(a) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(b) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(c) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(d) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(e) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

 

Question 3: 

In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 3: 

S.No.Question figuresComplete figuresNames of the figure
(a) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevSquare
(b) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevTriangle
(c) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevRhombus
(d) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevCircle
(e) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevPentagon
(f) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevOctagon

 

Question 4: 

The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Identify multiple lines of symmetry, if any, in each of the following figures:

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 4: 

S.No.Problem FiguresLines of symmetry
(a)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(b)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(c)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(d)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(e)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(f)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(g)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
(h)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

 

Question 5: 

Copy the figure given here: 

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals? 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 5: 

Answer figures are:

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Yes, there is more than one way. Yes, this figure will be symmetric about both the diagonals.

 

Question 6: 

Copy the diagram and complete each shape to be symmetric about the mirror line(s): 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 6: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Question 7: 

State the number of lines of symmetry for the following figures: 

(a) An equilateral triangle 

(b) An isosceles triangle 

(c) A scalene triangle 

(d) A square 

(e) A rectangle 

(f) A rhombus 

(g) A parallelogram 

(h) A quadrilateral 

(i) A regular hexagon 

(j) A circle 

Answer 7: 

S.No.Figure’s nameDiagram with symmetryNumber of lines
(a)Equilateral triangleNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev3
(b)Isosceles triangleNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev1
(c)Scalene triangleNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev0
(d)SquareNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev4
(e)RectangleNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev2
(f)RhombusNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev2
(g)ParallelogramNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev0
(h)QuadrilateralNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev0
(i)Regular HexagonNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev6
(j)CircleNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevInfinite

 

Question 8: 

What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about. 

(a) a vertical mirror 

(b) a horizontal mirror 

(c) both horizontal and vertical mirrors 

Answer 8: 

(a) Vertical mirror - A, H, I, M, 0, T, U, V, W, X and Y

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

(b) Horizontal mirror - B, C, D, E, H, I, 0 and X

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Question 9: 

Give three examples of shapes with no line of symmetry. 

Answer 9: 

The three examples are:

1. Quadrilateral

2. Scalene triangle

3. Parallelogram

Question 10: 

What other name can you give to the line of symmetry of: 

(a) an isosceles triangle? 

(b) a circle? 

Answer 10: 

(a) The line of symmetry of an isosceles triangle is median or altitude.

(b) The line of symmetry of a circle is diameter.

 

Exercise 14.2 

Question 1: Which of the following figures have rotational symmetry of order more than 1: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 1: 

Rotational symmetry of order more than 1 are (a),(b),(d),(e) and (f) because in these figures, a complete turn, more than 1 number of times, an object looks exactly the same.

Question 2: 

Give the order the rotational symmetry for each figure: 

NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev

Answer 2: 

S.No.Problem figuresRotational figuresOrder of rotational symmetry
(a) NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev2
(b)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev2
(c)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev3
(d)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev4
(e)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev4
(f)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev5
(g)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev6
(h)NCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRevNCERT Solutions(Part - 1) - Symmetry Class 7 Notes | EduRev3
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